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kykrilka [37]
2 years ago
9

PLEASE HELP MEEEEEEEE!! I ONLY NEED NUMBER 2!! I WILL VOTE BRIANLYIST​

Mathematics
1 answer:
N76 [4]2 years ago
6 0

Answer:

(3,3)

Step-by-step explanation:

2)  solve for 'x':    2/3x + 1 = 4/3x - 1

1 = 2/3x - 1

2x = 6

x = 3

now solve for 'y':

y = 2/3(3) + 1

y = 2 + 1

y = 3

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7 0
3 years ago
Thanks in advance if you help me!
8090 [49]
D) Definition of Equilateral Triangle
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4 0
3 years ago
The vertices of a triangle ABC are A(7, 5), B(4, 2), and C(9, 2). What is measure of angle ABC? 30° 45° 56.31° 78.69°
GenaCL600 [577]

The measure of angle ABC is 45°

<em><u>Explanation</u></em>

Vertices of the triangle are:   A(7, 5), B(4, 2), and C(9, 2)

According to the diagram below....

Length of the side BC (a) =\sqrt{(4-9)^2+(2-2)^2}= \sqrt{25}= 5

Length of the side AC (b) = \sqrt{(7-9)^2 +(5-2)^2}= \sqrt{4+9}=\sqrt{13}

Length of the side AB (c) = \sqrt{(7-4)^2 +(5-2)^2} =\sqrt{9+9}=\sqrt{18}

We need to find ∠ABC or ∠B . So using <u>Cosine rule</u>, we will get...

cosB= \frac{a^2+c^2-b^2}{2ac} \\ \\ cos B= \frac{(5)^2+(\sqrt{18})^2-(\sqrt{13})^2}{2*5*\sqrt{18} }\\ \\ cosB= \frac{25+18-13}{10\sqrt{18}} =\frac{30}{10\sqrt{18}}=\frac{3}{\sqrt{18}}\\ \\ cosB=\frac{3}{3\sqrt{2}} =\frac{1}{\sqrt{2}}\\ \\ B= cos^-^1(\frac{1}{\sqrt{2}})= 45 degree

So, the measure of angle ABC is 45°

7 0
3 years ago
Read 2 more answers
Math help ;x please help <br> asap skdsk <br> 10 points!
Svetradugi [14.3K]

Answer:

C.

Step-by-step explanation:

When you write the equation of a line in slope-intercept form,

y = mx + b,

m is the slope.

Parallel lines have equal slopes.

The given line is

y = (4/5)x - 1

and has slope 4/5.

The only equation in the choices with slope 4/5 is in choice C whose line is

y = (4/5)x + 2.

8 0
3 years ago
Complete the equation of the line through (−8,8), and (1,-10 ). Use exact numbers. Help me please my dog just died and I want to
katrin2010 [14]

Answer: (Mayadc821 wrote this anwser check theyre account for more)

Since you know the x and y values, you just have to plug these into the linear slope-intercept equation:

y = mx + b

-10 = m(1) + b

m + b = -10

b = -10 - m

Now that we have a value for b, we can plug this into the other equation:

8 = m(-8) + b

8 = -8m + (-10 - m)

8 = -9m -10

18 = -9m

m = -2

Now that we know what m is equal to, we can plug this into our first equation to get an answer for b:

b = -10 - m

b = -10 -(-2)

b = -10 + 2

b = -8

Our final equation is y = -2x - 8

6 0
3 years ago
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